Задача Задача №1642473
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The ratio 960:725 can be simplified by finding the greatest common divisor (GCD) of the two numbers.
Find the GCD of 960 and 725.
- The prime factorization of 960 is \( 2^6 \times 3 \times 5 \).
- The prime factorization of 725 is \( 5^2 \times 29 \).
- The only common factor is 5.
Divide both numbers by their GCD (5):
- \( 960 ÷ 5 = 192 \)
- \( 725 ÷ 5 = 145 \)
Thus, the simplified ratio is \( 192:145 \).
